Of course Jims observations about the potential buildup
of nonlinear effects from the state of the ground (soil moisture, vegetaion, snow / ice cover etc.), is still valid.
Possible manifestation
of nonlinear effects when solar activity affects climate changes, M. G. Ogurtsov et al., 02/2010, Geomagnetism and Aeronomy, Volume 50, Number 1, pp. 15 - 20
The new technique developed by Brasselet and her research team makes use
of a nonlinear effect called coherent Raman scattering that occurs when light interacts with molecules.
Not exact matches
A familiar example
of nonlinear acoustic
effects is the way a violin's tone changes when the bow is pulled more forcefully.
Only lasers provide a sufficiently strong light (more accurately, beam intensity) capable
of producing
nonlinear effects.
Subtle
nonlinear effects that change the properties
of drift instabilities in fully developed turbulence make life even more interesting.
The waves stem from a combination
of constructive interference — a known wave phenomenon — and
nonlinear effects specific to the complex dynamics
of ocean waves.
In their work, the team
of researchers used a graphene based nano - mechanical resonator, well suited for observing
nonlinear effects in energy decay processes, and measured it with a superconducting microwave cavity.
Therefore, the results achieved in this study have shown that
nonlinear effects in graphene nano - mechanical resonators reveal a hybridization
effect at high energies that, if controlled, could open up new possibilities to manipulate vibrational states, engineer hybrid states with mechanical modes at completely different frequencies, and to study the collective motion
of highly tunable systems.
«These
nonlinear effects can produce an enhancement
of 15 to 20 percent in wave height, which adds onto the
effects of constructive interference.»
The waves stem from a combination
of constructive interference — a known phenomenon
of colliding waves — and
nonlinear effects specific to the complex dynamics
of ocean waves.
«To predict the
effects this type
of deforestation has on the relationship between rain forest and the savanna — and on the local and global climate — it's necessary to understand how the transitional forest evolves in time and reacts to disturbances,» explained Yannick De Decker, associate professor at the Center for
Nonlinear Phenomena and Complex Systems, as well as the
Nonlinear Physical Chemistry Unit at ULB.
Chaos theory, or
nonlinear dynamics, is a mathematical way
of determining the
effects of small changes on systems so complex they look random.
Since interacting light beams with different colours pass through a
nonlinear optical material at different speeds, they can become «out
of step» and the desired
effect can be lost.
Due to the small extent
of optical nonlinearity in naturally occurring materials, high light intensities and long propagation distances in
nonlinear crystals are typically required to produce detectable
nonlinear optical
effects.
Effect of concurrent training, flexible
nonlinear periodization, and maximal effort cycling on strength and power r - 340011.
The combined protein - and - carb signal was a
nonlinear combination
of the two individual signals — meaning that these neurons were, in
effect, responding to the protein - to - carb ratio rather than amounts.
Because the response
of the pixels is
nonlinear in the applied fields, off currents that fall below the specification have no
effect on the display.
[OOOPS; this
nonlinear effect puts their «alternative concept» into the realm
of Trump administration «alternative facts» — BD] Although the deep ocean could dissolve 70 to 80 %
of the expected anthropogenic carbon dioxide emissions and the sediments could neutralize another 15 % it takes some 400 years for the deep ocean to exchange with the surface and thousands more for changes in sedimentary calcium carbonate to equilibrate with the atmosphere.
Most
of the uncertainties lead to increased melting, rather than decreased, and the
effects could be quite
nonlinear.
Separating the direct
effects of all this, not to mention the feedbacks (this stuff ISN» T additive, even tho it is convenient to think it is), is something that no one has adequately done, and I suspect that it is an ill posed problem given the
nonlinear chaotic nature
of the climate system
Given that the «size»
of effects from various interacting
nonlinear deterministic components can vary over many orders
of magnitude, and their
effect on the behavior
of other components can also vary to such an extent, any assumption that «smaller»
effects can be «smoothed» away to expose underlying mechanisms is certainly unwarranted, and probably totally wrong.
In a system such as the climate, we can never include enough variables to describe the actual system on all relevant length scales (e.g. the butterfly
effect — MICROSCOPIC perturbations grow exponentially in time to drive the system to completely different states over macroscopic time) so the best that we can often do is model it as a complex
nonlinear set
of ordinary differential equations with stochastic noise terms — a generalized Langevin equation or generalized Master equation, as it were — and average behaviors over what one hopes is a spanning set
of butterfly - wing perturbations to assess whether or not the resulting system trajectories fill the available phase space uniformly or perhaps are restricted or constrained in some way.
This suggests that Amazon forest loss offsets the cooling
effect imposed by wNA forest loss and is evidence
of a
nonlinear geographic response due to forest loss in the two locations.
The point was that one can't trivially remove the
effect of a single input
of a complex
nonlinear multivariate function with an equally complex «memory» with a wide range
of timescales.
This multiple regression fit is subject to the same set
of caveats as all others (i.e. selection
effects of the choice
of inputs, inter-correlations between inputs,
nonlinear responses and overfitting
of internal variability).
The S from the IPCC comes from a definition that assumes we know the future
of the full behavior
of the
nonlinear system and can let the 2xCO2
effect run to completion (or absent that ideal value, can approximate it using models and possibly also using various simplified assumptions and calculations to speed how long it takes to calculate the value).
There was no
effect of stress level on branch NSC, and the
effect on root NSC was
nonlinear (see below).
Consequently, the
effects of these storms are highly
nonlinear and one big storm may have much greater impacts on the environment and climate system than several smaller storms.
It defines
nonlinear as the absence
of a «simple proportional relation between cause and
effect.»
The time scale
of variability
of the patterns is longer than the decorrelation time scale
of the stochastic forcing, because
of the temporal integration
of the forcing by the equations
of motion limited by the
effects of nonlinear dynamics and friction.
Changing a girl's name from something fairly feminine, like «Sue» (which is less masculine than the mean female voter's name), to a more gender - ambiguous name, like «Kelly,» increases her probability
of becoming a judge by roughly 5 %.16 This
effect may appear small, but it is highly
nonlinear in nominal masculinity; changing a girl's name from «Sue» to a predominantly male name, like «Cameron» (75 %
of those named «Cameron» in South Carolina's voting population are male), increases her probability
of becoming a judge by a factor
of 3 (roughly).
In
nonlinear models, the total
effect is not generally equal to the sum
of the direct and indirect
effects, but to a modified combination
of the two.